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82706787262671 = 311133121312918359
BaseRepresentation
bin10010110011100010101100…
…101011001110000011001111
3101211211200200012121221100220
4102303202230223032003033
541320032000014401141
6451522550141322423
723264240201203635
oct2263425453160317
9354750605557326
1082706787262671
112439782a280510
129339167866413
13371c2a7a72680
14165d05bd29355
159865d77b4766
hex4b38acace0cf

82706787262671 has 64 divisors (see below), whose sum is σ = 133796673454080. Its totient is φ = 44755938288000.

The previous prime is 82706787262669. The next prime is 82706787262711. The reversal of 82706787262671 is 17626278760728.

It is not a de Polignac number, because 82706787262671 - 21 = 82706787262669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82706787262596 and 82706787262605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82706787262571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26880990 + ... + 29799348.

It is an arithmetic number, because the mean of its divisors is an integer number (2090573022720).

Almost surely, 282706787262671 is an apocalyptic number.

82706787262671 is a deficient number, since it is larger than the sum of its proper divisors (51089886191409).

82706787262671 is a wasteful number, since it uses less digits than its factorization.

82706787262671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920548.

The product of its (nonzero) digits is 265531392, while the sum is 69.

The spelling of 82706787262671 in words is "eighty-two trillion, seven hundred six billion, seven hundred eighty-seven million, two hundred sixty-two thousand, six hundred seventy-one".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 2131 4433 6393 13299 23441 27703 66061 70323 83109 198183 304733 726671 858793 914199 2180013 2576379 2918359 8755077 9446723 28340169 32101949 37938667 90469129 96305847 113816001 271407387 417325337 995160419 1176098677 1251976011 2985481257 3528296031 6219023029 12937085447 18657069087 38811256341 68409253319 80847299377 192789713899 205227759957 242541898131 578369141697 889320293147 2120686852889 2506266280687 2667960879441 6362060558667 7518798842061 27568929087557 82706787262671